Spin transitions driven by electric dipole spin resonance in fluorinated single- and bilayer-graphene quantum dots

Spin transitions driven by a periodically varying electric potential in dilute fluorinated graphene quantum dots are investigated. Flakes of monolayer graphene are considered as well as electrostatic electron traps induced in bilayer graphene. The stationary states are obtained within the tight-binding approach and are used to the basis of eigenstates to describe the system dynamics. The dilute fluorination of the top layer lifts the valley degeneracy of the confined states and attenuates the orbital magnetic dipole moments due to current circulation within the flake. Moreover, the spin-orbit coupling introduced by the surface deformation of the top layer induced by the adatoms allows spin flips to be driven by the AC electric field. For the bilayer quantum dots the spin flip times is substantially shorter than the experimental spin relaxation. Dynamical effects including many-photon and multilevel transitions are also discussed.